cognitive and motivational biases in decision and risk analysis...prof gilberto montibeller bor...
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Prof Gilberto Montibeller BOR Summer School 2019 1
Cognitive and Motivational Biases in
Decision and Risk Analysis
Gilberto Montibeller
Professor of Management Science
Head of the Management Science and Operations Group
School of Business and Economics
Loughborough University
Prof Gilberto Montibeller BOR Summer School 2019 2
Schedule Talk
• Approaches to Decision Making Research
• The practice of Decision and Risk Analysis (DRA)
• Cognitive Biases in DRA Modelling
• Motivational Biases in DRA Modelling
• Debiasing judgments in DRA Modelling
• Group Biases in Modelling
Prof Gilberto Montibeller BOR Summer School 2019 3
Approaches to Decision Making Research
DecisionMaking
Decision Outcomes
Objectives & Preferences
Uncertainties & Risks
Co
nte
nt
kno
wle
dge
Options
Decision Process
Problem Frame & Structure
Prof Gilberto Montibeller BOR Summer School 2019 4
Approaches to Decision Making Research
• Normative: how should fully rational decision makers decide? (Decision Theory)
• Descriptive: how do real decision makers decide? (Behavioural Decision Science)
• Prescriptive: how can real decision makers decide better?(Decision Analysis)
Prof Gilberto Montibeller BOR Summer School 2019 5
The Prescriptive-Descriptive Split
in Decision Analysis
• All research prior to the 1950s (from
Bernoulli to Savage) was prescriptive
• Some researchers criticized the DA
principles of descriptive grounds (Ellsberg,
Allais) already in the 1950s
• Edwards laid the foundation of scientific
descriptive work, but with a prescriptive
agenda
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The Allais ParadoxEU(X) = ∑pi ui(X)
Let U($0) = 0; U ($5 million) = 1
• Decision 1:EU(A) = U($1 million)
EU(B) = 0.10 U($5 million) + 0.89 U($1 million) + 0.01 U($0)
EU(B) = 0.10 + 0.89 U($1 million)
As A is preferred to B: EU(A) > EU(B) => U($1 million) > 0.10 + 0.89 U($1 million)
Thus: U($1 million) > 0.91
• Decision 2:EU(C) = 0.11 U($1 million) + 0.89 U($0) = 0.11 U($1 million)
EU(D) = 0.10 U ($5 million) + 0.90 U($0) = 0.10
As D is preferred to C: EU(D) > EU(C) => 0.10 > 0.11 U($1 million)
Thus U($1 million) < 0.91, therefore a paradox.
$1 million
$5 million
$1 million
$0
A
B
0.10
0.89
0.01
Decision 1
$1 million
$5 million
$0
C
D
0.89
0.10
Decision 2
$0
0.11
0.90
Normative models are not descriptively valid!
Prof Gilberto Montibeller BOR Summer School 2019 12
Imagine that the Netherlands is preparing for the outbreak of an unusual avian flu outbreak, which is expected to kill 600 people. Two alternative programmes have been proposed.
Problem Setting:
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Gains-Losses Framing• Framing in terms of gains may elicit risk-averse
behaviour (T1 preferred to T2).
• Framing in terms of losses may elicit risk-seeking behaviour (T4 preferred to T3, a preference reversal from T1 preferred to T2).
Ref: Levin, I. P., Schneider, S. L., & Gaeth, G. J. (1998). All frames are not created equal: a
typology and critical analysis of framing effects. Organizational Behavior and Human Decision
Processes, 76(2), 149-188.
T1
T2
+200 lives
+600 lives
0 lives
1/3
2/3
T3
T4
-400 lives
-600 lives
0 lives
2/3
1/3
Prof Gilberto Montibeller BOR Summer School 2019 20
Prospect Theory
• People evaluate values as gains or losses relative to some reference level (or status quo)
• People are more risk averse for gains than for losses, and this is captured by the steeper curve in losses than gains.
Prof Gilberto Montibeller BOR Summer School 2019 21
The Prescriptive-Descriptive Split of the 1970s
• Prescriptive work since 1960:
• 1960’s: Experimental applications of DA
• 1970’s: Multiattribute utility theory and influence
diagrams
• 1980’s: Major applications
• 1990’s: Computerization
• 2000 and beyond: portfolio decision analysis, utility
dependencies (e.g. copulas), etc.
Prof Gilberto Montibeller BOR Summer School 2019 22
The Prescriptive-Descriptive Split of the 1970s
• Descriptive work
• 1950s and 60s: Early violations of SEU (Allais,
Ellsberg)
• 1970s: Probability Biases and Heuristics (cognitive
illusion paradigm)
• 1980s: Utility biases and Prospect Theory
• 1990s: Generalized expected utility theories and
experiments
• 2000 and beyond: fine tuning Prospect Theory,
heuristics, etc.
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Facilitator
Analyst
Group
Process
Space
Modelling
Space
Group
Model
Pro
vid
es in
form
atio
n
Gen
erat
es r
esp
on
ses
Decision Analysis
Informs
model
building
Represents
problem
situation
Facilitation
Methods
Informs
group
facilitation
process
Group Outcomes (e.g. commitment to action, learning)
Model Outcomes (e.g. ranking of alternatives)
Group
discussion
Source:
Franco and Montibeller
(2010). “Facilitated Modelling
in Operational Research.”
European Journal of
Operational Research 205,
no. 3: 489–500.
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Value Tree – FAO project
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Attributes – FAO projectCriteria Sub-Criteria Attribute
C1: Impact on
International Trade
- Export value in US$ billions/year
C2: Burden of
Disease
- Total Disability-Adjusted Life Years (DALYs) in outbreak cases from
1990 on
C3: Vulnerabilities
due to Food
Consumption
C3.1: Average Serving Average g/day
C3.2: Proportion
Vulnerable Consumers
Proportion (0-100%) consumed by vulnerable groups (toddlers and
elderly)
C3.3: Potential for
Consumer Mishandling
Proportion (0-100%) of LMF products in a given category with an
increased risk as a result of mishandling/poor practices at any time
between final retail and consumption.
C4: Vulnerabilities
due to Food
Production
C4.1: Increased Risk of
Contamination
Proportion (0-100%) of LMF products in a given category with an
increased risk of contamination post kill step.
C4.2: Proportion
without Kill Step
Proportion (0-100%) of LMF products in a given category without a
kill step prior to retail and distribution.
C4.3: Prevalence of
Pathogen
Probability that a LMF is contaminated at a level with any pathogens
with the potential to cause illness in consumers.
Prof Gilberto Montibeller BOR Summer School 2019 28
Multi-Attribute Value Analysis
𝑽 𝒂 =
𝒊=𝟏
𝑵
𝒘𝒊𝒗𝒊 𝒙𝒊(𝒂
𝒘𝒊 = weight of the i-th attribute (i = 1, 2, …, N)
𝒗𝒊 = partial value of the i-th attribute
The overall value of policy alternative a is given by:
Where:
𝒙𝒊 = performance alternative a on i-th attribute
𝒗𝒊 𝒙∗ = 𝟎 ∀ i ; where 𝒙∗ is the lowest level of the i-th attribute
𝒗𝒊 𝒙∗ = 𝟏𝟎𝟎 ∀ i; where 𝒙∗ is the highest level
of the i-th attribute
𝒊=𝟏
𝑵
𝒘𝒊 = 𝟏
weak-difference independence
condition
Prof Gilberto Montibeller BOR Summer School 2019 29
Valuation – FAO projectC2: Burden of Disease
Code Category Name Total DALYs in
outbreak cases
from 1990 on
Normalised
Impact (v2)
[Value]
Cat 1 Cereals and Grains 72.53 45.9
Cat 2 Confections and Snacks 60.26 35.4
Cat 3 Dried Fruits and Vegetables 32.78 12.2
Cat 4 Dried Protein Products 136.44 100.0
Cat 5 Nuts and Nut Products 118.51 84.8
Cat 6 Seeds for Consumption 18.42 0.0
Cat 7 Spices, Dried Herb and Tea 80.71 52.8
Prof Gilberto Montibeller BOR Summer School 2019 30
Overall Value – FAO project
Prof Gilberto Montibeller BOR Summer School 2019 31
Judgements in Modelling Values
O
ONO2O1
x1
g1
x2
g2 gN
xN
w1 w2 wN
Identifying objectives
Defining
attributes
Eliciting
value
functions
Eliciting weights
...
Prof Gilberto Montibeller BOR Summer School 2019 3232
Supporting a Commercial Law Firm
in deciding the strategy for a commercial dispute
Decision Making Under Uncertainty
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Best strategy for the dispute trial
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Judgements in Modelling Uncertainty
U1 U2 UM...
Ut
Eliciting
distributions
d1 d2 dM
dTe
Aggregating
distributions
Identifying
Variables
Prof Gilberto Montibeller BOR Summer School 2019 38
Judgments in ModellingChoices
D
C1
C2
P1,2
P2,1
P2,2
P2, k2
a1
a2
P1,1
P1,k1
CZ
PZ,1
PZ,2
PZ, kZ
aZ
...
...
...
X1,1
Identifying
alternatives
Identifying
uncertainties
X1, k1
XZ, kZ
Eliciting
Probabilities
X1,2
X2, 1
X2, 2
X2, k2...
XZ, 1
XZ, 2
Estimating
Consequences
Prof Gilberto Montibeller BOR Summer School 2019 44
Two Ways Decision Analysts Deal with Biases
• The easy way
• Biases exist and are harmful
• Decision analysis helps people overcome these
biases
• The hard way
• Some biases can occur in the decision analysis
process whenever a judgment is needed in
the model and may distort the analysis
• Need to understand and correct for these biases
in decision analysis
Prof Gilberto Montibeller BOR Summer School 2019 45
More vs Less Relevant Biases
More Relevant Biases
• They occur in the tasks of eliciting inputs into a decision and risk analysis (DRA) from experts and decision makers.
• Thus they can significantly distort the results of an analysis.
Less Relevant Biases
• They do not occur or can easily be avoided in the usual tasks of eliciting inputs for DRA
Prof Gilberto Montibeller BOR Summer School 2019 46
Relevant Cognitive Biases
• Anchoring
• Availability
• Certainty effect
• Equalizing bias
• Gain-loss bias
• Myopic problem
representation
• Omitted variable bias
• Overconfidence
• Scaling biases
• Splitting bias
• Proxy bias
• Range insensitivity
bias
Cognitive biases are distortions of judgments that violate
a normative rules of probability or expected utility
Prof Gilberto Montibeller BOR Summer School 2019 47
Identifying Objectives
O
ONO2O1
x1
g1
x2
g2 gN
xN
w1 w2wN
Identifying objectives
Defining
attributes
Eliciting
value/utility
functions
Eliciting weights
...
x1(a)
Estimating
impacts
Prof Gilberto Montibeller BOR Summer School 2019 52
Debiasing
• Older experimental literature shows low efficacy
• Recent literature is more optimistic
• Decision analysts have developed many (mostly
untested) best practices, which we reviewed:
• Prompting
• Challenging
• Counterfactuals
• Hypothetical bets
• Less bias prone techniques
• Involving multiple experts or stakeholders
Prof Gilberto Montibeller BOR Summer School 2019 53
Identifying Objectives – Biases & Debiasing
Biases:
• Availability bias (C)
• Myopic problem representation (C)
• Omitted variable bias (C)
Debiasing:
• Providing categories
• Prompting for more objectives
• Stimulating creativity
• Employing problem structuring methods
Prof Gilberto Montibeller BOR Summer School 2019 54
Identifying Objectives – Debiasing Tools Building a Group Causal Map in the
FAO project
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• Estimate ranges before central tendency
• Stretch ranges to account for lack of knowledge
• Avoid overconfidence and anchoring biases
• Use multiple individual experts with different perspective
Debiasing: Forecasting Trends
Prof Gilberto Montibeller BOR Summer School 2019 61
Motivational Biases
• Affect-Influenced Bias
• Confirmation bias
• Undesirability of a negative event or
outcome (precautionary thinking,
pessimism)
• Desirability of a positive event or
outcome (wishful thinking, optimism)
• Desirability of options or choices
Motivational biases are distortions of judgments because
of desires for specific outcomes, events, or actions
Prof Gilberto Montibeller BOR Summer School 2019 62
Mapping Biases -Modeling Choices
62
D
C1
C2
P1,2
P2,1
P2,2
P2, k2
a1
a2
P1,1
P1,k1
CZ
PZ,1
PZ,2
PZ, kZ
aZ
...
...
...
X1,1
Identifying
alternatives
Identifying
uncertainties
X1, k1
XZ, kZ
Eliciting
Probabilities
X1,2
X2, 1
X2, 2
X2, k2...
XZ, 1
XZ, 2
Estimating
Consequences
Prof Gilberto Montibeller BOR Summer School 2019 63
Mapping Biases
63
D
C1
C2
P1,2
P2,1
P2,2
P2, k2
a1
a2
P1,1
P1,k1
CZ
PZ,1
PZ,2
PZ, kZ
aZ
...
...
...
X1,1
X1, k1
XZ, kZ
Eliciting
Probabilities
X1,2
X2, 1
X2, 2
X2, k2...
XZ, 1
XZ, 2
• Anchoring bias (C)
• Availability bias (C)
• Equalizing bias (C)
• Gain-loss bias (C)
• Overconfidence bias (C)
• Splitting bias (C)
• Affect-Influenced (M)
• Confirmation bias (M)
• Desirability biases (M)
Prof Gilberto Montibeller BOR Summer School 2019 64
Current Research Project: Debiasing• Existing literature focused on demonstrate bias
(e.g. overconfidence)
• Few attempts of assessing the effectiveness of debiasing tools in controlled experiments
• No previous attempt of assessing the effectiveness of sophisticated debiasing tools employed by decision analysts in practice
• Ongoing research: testing effectiveness of debiasing tools
Prof Gilberto Montibeller BOR Summer School 2019 67
Benefits of engaging with groups
• Judgments considering future events:
oContent: Increase of accuracy, pooling of information and perspectives, error checking, motivation gains
oSocial goals: procedural fairness and satisfaction/enjoyment
Prof Gilberto Montibeller BOR Summer School 2019 68
Benefits of engaging with groups
• Judgments considering group preferences:
oContent: Pooling of information and perspectives, error checking, motivation gains
oSocial goals: procedural fairness, satisfaction/enjoyment, sense of a common purpose, agreement on the way forward
Prof Gilberto Montibeller BOR Summer School 2019 69
Group biases
• Group biases may affect the quality of judgments (about preferences and future events)
• Groups may increase or attenuate individual biases depending on:
oType of group decision/judgment process
oType and strength of the bias
o Individual preferences among group members
Prof Gilberto Montibeller BOR Summer School 2019 70
Group biases
• False consensus (but no direct evidence on decision making
or group judgments)
• Groupthink (evidence on incomplete search for alternatives,
consideration of too few objectives, limited search for evidence)
• Group polarisation (evidence on group risk attitude)
• Group escalation of commitment (evidence it
increases sunk-cost bias, impacts on risk-seeking attitude)
• Group overconfidence (evidence it may increase
individual overconfidence, affects all the judgments impacted by individual overconfidence)
Prof Gilberto Montibeller BOR Summer School 2019 71
Group biases
• False consensus
• Groupthink
• Group polarisation
• Group escalation of commitment
• Group overconfidence
Evidence bias
impact on
modelling task?
Prof Gilberto Montibeller BOR Summer School 2019 72
Debiasing strategies against group biases
• Engaging with multiple experts with alternative points of view
• Encouraging distinct perspectives
• Using structured elicitation procedures
• Providing effective facilitation
Evidence about effectiveness on
specific group bias/modelling task?
Prof Gilberto Montibeller BOR Summer School 2019 73